Section: Juan Valiente Kroon: Mathematical Topics in General Relativity | LTCC - London Taught Course Centre (Queen Mary Courses)

Select activity The lectures are structured as follows:LECTURE 1: ...

The lectures are structured as follows:
LECTURE 1: introduction and refresher of differential geometry
LECTURE 2: the Einstein equations as a wave equation and selected topics of Lorentzian and Riemannian Differential Geometry including embeddings and submanifolds, intrinsic metrics, extrinsic curvature, Gauss-Codazzi and Codazzi-Mainardi equations
LECTURE 3: the ADM evolution equations
LECTURE 4: the constraint equations of General Relativity and time independent solutions
LECTURE 5: energy and momentum in GR; Killing initial data. Wrap up.
Select activity Lecture notes

Lecture notes File

These are the official lecture notes on which the course is based.

428.3 KB
Select activity General Course information

General Course information File

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Select activity Slides for Lecture 1

Slides for Lecture 1 File

549.9 KB
Select activity Problem sheet 1

Problem sheet 1 File

This (optional) problem sheet provides some practice on some of the topics discussed in the lectures.

140.6 KB
Select activity Recording of Lecture 1

Recording of Lecture 1 QMplus Media Video
Select activity Slides for Lecture 2

Slides for Lecture 2 File

283.4 KB
Select activity Problem sheet 2

Problem sheet 2 File

144.5 KB
Select activity Recording of Lecture 2

Recording of Lecture 2 QMplus Media Video
Select activity Slide for Lecture 3

Slide for Lecture 3 File

456.7 KB
Select activity Problem sheet 3

Problem sheet 3 File

136.3 KB
Select activity Recordings of Lecture 3

Recordings of Lecture 3 QMplus Media Video
Select activity Slides for Lectures 4 and 5

Slides for Lectures 4 and 5 File

414.3 KB
Select activity Problem sheet 4

Problem sheet 4 File

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Select activity Assessment problems

Assessment problems File

The assessment problems are due for the 8th March 2021.

138.9 KB
Select activity Lecture 4 recordings - part one

Lecture 4 recordings - part one QMplus Media Video
Select activity Lecture 4 - part b

Lecture 4 - part b QMplus Media Video

Section outline